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Simplifying 5(k + -3) + -2(k + 4) = -5 Reorder the terms: 5(-3 + k) + -2(k + 4) = -5 (-3 * 5 + k * 5) + -2(k + 4) = -5 (-15 + 5k) + -2(k + 4) = -5 Reorder the terms: -15 + 5k + -2(4 + k) = -5 -15 + 5k + (4 * -2 + k * -2) = -5 -15 + 5k + (-8 + -2k) = -5 Reorder the terms: -15 + -8 + 5k + -2k = -5 Combine like terms: -15 + -8 = -23 -23 + 5k + -2k = -5 Combine like terms: 5k + -2k = 3k -23 + 3k = -5 Solving -23 + 3k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 3k = -5 + 23 Combine like terms: -23 + 23 = 0 0 + 3k = -5 + 23 3k = -5 + 23 Combine like terms: -5 + 23 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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